Explanation The given function is L − 1 { 1 s 2 ( s − 1 ) } . The inverse Laplace transform of the integral is, L − 1 { F ( s ) s } = ∫ 0 t f ( τ ) d τ , where f ( t ) = L − 1 { F ( s ) } . (1) Compare the given equation with equation (1) and obtain F ( s ) = 1 s ( s − 1 ) . Re write the above function F ( s ) as, F ( s ) = s − ( s − 1 ) s ( s − 1 ) = s s ( s − 1 ) − s − 1 s ( s − 1 ) = 1 s</

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ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 4.4, Problem 36E

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The inverse Laplace transform of the given function.

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Chapter 4.4, Problem 35E

Chapter 4.4, Problem 37E

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Chapter 4 Solutions

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The inverse Laplace transform of the given function.

Solution Summary: The author explains the inverse Laplace transform of the given function, which is et-t-1.

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